Variational approach to fractal solitary waves

Ji Huan He; Wei Fan Hou; Chun Hui He; Tareq Saeed; Tasawar Hayat

doi:10.1142/S0218348X21501991

Variational approach to fractal solitary waves

Ji Huan He
, Wei Fan Hou
, Chun Hui He
, Tareq Saeed
, Tasawar Hayat

Xi'an University of Architecture and Technology
Henan Polytechnic University
Soochow University
Faculty of Sciences, King Abdulaziz University
Quaid-I-Azam University

Research output: Contribution to journal › Article › peer-review

92 Scopus citations

Abstract

The morphology of a shallow-water wave is affected by the unsmooth boundary, while its peak is rarely changed. This phenomenon cannot be explained by a differential model. This paper adopts a fractal modification of the Boussinesq equation, and its traveling solitary solution is studied through its fractal variational principle, the results reveal the basic properties of solitary waves in fractal space.

Original language	English
Article number	2150199
Journal	Fractals
Volume	29
Issue number	7
DOIs	https://doi.org/10.1142/S0218348X21501991
State	Published - 1 Nov 2021
Externally published	Yes

Keywords

Fractal Complex Transform
Fractal Variational Theory
Soliton
Two-Scale Fractal Derivative

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10.1142/S0218348X21501991

Cite this

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abstract = "The morphology of a shallow-water wave is affected by the unsmooth boundary, while its peak is rarely changed. This phenomenon cannot be explained by a differential model. This paper adopts a fractal modification of the Boussinesq equation, and its traveling solitary solution is studied through its fractal variational principle, the results reveal the basic properties of solitary waves in fractal space.",

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AU - Saeed, Tareq

AU - Hayat, Tasawar

PY - 2021/11/1

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N2 - The morphology of a shallow-water wave is affected by the unsmooth boundary, while its peak is rarely changed. This phenomenon cannot be explained by a differential model. This paper adopts a fractal modification of the Boussinesq equation, and its traveling solitary solution is studied through its fractal variational principle, the results reveal the basic properties of solitary waves in fractal space.

AB - The morphology of a shallow-water wave is affected by the unsmooth boundary, while its peak is rarely changed. This phenomenon cannot be explained by a differential model. This paper adopts a fractal modification of the Boussinesq equation, and its traveling solitary solution is studied through its fractal variational principle, the results reveal the basic properties of solitary waves in fractal space.

KW - Fractal Complex Transform

KW - Fractal Variational Theory

KW - Soliton

KW - Two-Scale Fractal Derivative

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Variational approach to fractal solitary waves

Abstract

Keywords

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